I have a 5"x2" extremely hard coticule that I like to use time to time. I only use the coticule for finishing so I was thinking about using some sort of honing oil.

How much of a difference has using honing oil on a coti made for you guys?
What are long term effects of using oil on a coticule?
honing oil suggestions? (never used honing oil before)
How do I handle coticule after honing session? Do I clean it up somehow or just leave it as is if I am only using it with oil after?



I don't really mind if the coticule had to be used with oil only since I only use it for finishing a blade or two.
Pictures of the stone if you are curious https://imgur.com/a/fv7wH I believe it is a la dressante coticule